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- W293068760 abstract "Abstract. By applying various known summation theorems toa general transformation formula based upon Bailey’s transforma-tion theorem due to Slater, Extonhas obtained numerousand newquadratic transformations involving hypergeometric functions oforder greater than two (some of which have typographical errors).We aim at first deriving a general quadratic transformation for-mula due to Exton and next providing a list of quadratic formulas(including the corrected forms of Exton’s results) and some moreresults. 1. Introduction and PreliminariesAs a consequence of Bailey’s transform method, Slater [4, p. 60]gave the following general hypergeometric transform(1.1)X ∞n=0 ((a)) n ((d)) n ((v)) 2n x n y n ((h)) n ((g)) n ((f)) 2n n!× U+D+V F E+F+G (u), (d)+n, (v)+2n(e), g)+n, f)+2n; x Received November 15, 2005.2000 Mathematics Subject Classification: Primary 33C20, 33C60; Secondary33C70, 33C65.Key words and phrases: Generalized hypergeometric series p F q , Summationformulas for p F q , Quadratic transformations." @default.
- W293068760 created "2016-06-24" @default.
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- W293068760 date "2006-01-01" @default.
- W293068760 modified "2023-09-26" @default.
- W293068760 title "QUADRATIC TRANSFORMATIONS INVOLVING HYPERGEOMETRIC FUNCTIONS OF TWO AND HIGHER ORDER" @default.
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